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Finding the Fourth Proportional to 3,462.42, 4,777.68 and 1,970.25

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Solution

The fourth proportional to 3,462.42, 4,777.68 and 1,970.25 is: 2,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.42 : 4,777.68 = 1,970.25 : x
  2. Step 2: Convert to fraction form
    3,462.42/4,777.68 = 1,970.25/x
  3. Step 3: Cross multiply
    3,462.42x = 4,777.68 × 1,970.25
  4. Step 4: Simplify right side
    3,462.42x = 9,413,224.02
  5. Step 5: Solve for x
    x = 9,413,224.02/3,462.42
  6. Step 6: Final answer
    x = 2,718.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.